Journal of Optimization, Differential Equations and Their Applications, 2021 In this paper we discuss the problem of boundary exact null controllability for weakly and strongly degenerate linear wave equation defined on star-shaped planar network. The network is represented by a singular measure in a bounded planar domain.
Peter I. Kogut +2 more
doaj +1 more source
On exact controllability and complete stabilizability for linear systems
Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2021 In this paper we consider linear systems with control described by the equation $\dot x = \mathcal A x +\mathcal B u$ where functions u and x take values in U and X respectively.
Rabah Rabah
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Internal controllability of the Korteweg-de Vries equation on a bounded domain [PDF]
, 2014 This paper is concerned with the control properties of the Korteweg-de Vries (KdV) equation posed on a bounded interval with a distributed control. When the control region is an arbitrary open subdomain, we prove the null controllability of the KdV ...
Filho, Roberto Capistrano +2 more
core +6 more sources
On the exact controllability of a nonlinear stochastic heat equation
Abstract and Applied Analysis, 2006 The exact controllability of a nonlinear stochastic heat equation with null Dirichlet boundary conditions, nonzero initial and target values, and an interior control is established.
Bui An Ton
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Controllability Metrics on Networks with Linear Decision Process-type Interactions and Multiplicative Noise [PDF]
, 2015 This paper aims at the study of controllability properties and induced controllability metrics on complex networks governed by a class of (discrete time) linear decision processes with mul-tiplicative noise.
Diallo, Tidiane, Goreac, Dan
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Exact controllability to the trajectories of the heat equation with Fourier boundary conditions: the semilinear case [PDF]
, 2006 This paper is concerned with the global exact controllability of the semilinear heat equation (with nonlinear terms involving the state and the gradient) completed with boundary conditions of the form ∂y ∂n + f(y) = 0.
Fernández Cara, Enrique +3 more
core +3 more sources
A hyperbolic system and the cost of null controllability for the Stokes system [PDF]
, 2014 This paper is devoted to study the cost of the null controllability for the Stokes system. Using the control transmutation method we show that the cost of driving the Stokes system to rest at time T is of order e^C/T when T -->0^+,i.e., the same order as
Chaves-Silva, F. W.
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Nonequivalence of Controllability Properties for Piecewise Linear Markov Switch Processes *
ESAIM: Proceedings and Surveys, 2017 In this paper we study the exact null-controllability property for a class of controlled PDMP of switch type with switch-dependent, piecewise linear dynamics and multiplicative jumps.
Goreac Dan
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The analysis of exact controllability of neutral type systems by the moment problem approach [PDF]
, 2007 Presented also at the 47th IEEE CDCInternational audienceThe problem of exact null-controllability is considered for a wide class of linear neutral-type systems with distributed delay.
Rabah, Rabah, Sklyar, Grigory,
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Uniform local null control of the Leray-α model [PDF]
, 2014 This paper deals with the distributed and boundary controllability of the so called Leray-α model. This is a regularized variant of the Navier−Stokes system (α is a small positive parameter) that can also be viewed as a model for turbulent flows.
Araujo de Souza, Diego +2 more
core +1 more source